An analysis of quantum Fokker-Planck models: a Wigner function approach.

Título inglés	An analysis of quantum Fokker-Planck models: a Wigner function approach.
Título español	Un análisis de modelos de Fokker-Planck cuánticos: un enfoque basado en funciones de Wigner.
Autor/es	Arnold, Anton ; López, José L. ; Markowich, Peter A. ; Soler, Juan
Organización	Inst. Num. Math. Univ. Münster, Münster, Alemania;Dep. Mat. Apl. Fac. Cienc. Univ. Granada, Granada, España;Inst. Math. Univ. Wien, Viena, Austria
Revista	0213-2230
Publicación	2004, 20(3): 771-814, 38 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	The analysis of dissipative transport equations within the framework of open quantum systems with Fokker-Planck-type scattering is carried out from the perspective of a Wigner function approach. In particular, the well-posedness of the self-consistent whole-space problem in 3D is analyzed: existence of solutions, uniqueness and asymptotic behavior in time, where we adopt the viewpoint of mild solutions in this paper. Also, the admissibility of a density matrix formulation in Lindblad form with Fokker-Planck dissipation mechanisms is discussed. We remark that our solution concept allows to carry out the analysis directly on the level of the kinetic equation instead of on the level of the density operator.
Clasificación UNESCO	120220
Palabras clave español	Ecuación de Fokker-Planck ; Transformada de Wigner
Código MathReviews	MR2124489
Código Z-Math	Zbl 1062.35097
Acceso al artículo completo